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Finding the Fourth Proportional to 944.75, 1,417.25 and 295.54

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Solution

The fourth proportional to 944.75, 1,417.25 and 295.54 is: 443.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.75 : 1,417.25 = 295.54 : x
  2. Step 2: Convert to fraction form
    944.75/1,417.25 = 295.54/x
  3. Step 3: Cross multiply
    944.75x = 1,417.25 × 295.54
  4. Step 4: Simplify right side
    944.75x = 418,847.72
  5. Step 5: Solve for x
    x = 418,847.72/944.75
  6. Step 6: Final answer
    x = 443.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.